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Finding the Fourth Proportional to 182.94, 252 and 146.22

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Solution

The fourth proportional to 182.94, 252 and 146.22 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 252 = 146.22 : x
  2. Step 2: Convert to fraction form
    182.94/252 = 146.22/x
  3. Step 3: Cross multiply
    182.94x = 252 × 146.22
  4. Step 4: Simplify right side
    182.94x = 36,847.44
  5. Step 5: Solve for x
    x = 36,847.44/182.94
  6. Step 6: Final answer
    x = 201.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.